Details of DAISY may be found in Lloyds Register of Shipping =
Tonnage: 163 Dimensions: 100.3ft x 22.1ft
Built: 1938 at Hong Kong for W. Hammer & Co, Singapore
Fitted as a Water Tanker; one deck; engines aft; 5-cylinder Crossley Bros. diesel engine
The Daisy was evidently used by Singapore Harbour Board.
The escape from Singapore was somewhat chaotic and vessels were taken over with little official paperwork – and what there was would not have survived. Any and all vessels in Singapore harbour were used for the evacuation.
In answer to your specific questions:
1: No. She was probably taken over on or about the 12 February, solely for the use of the evacuation
2: She would have been crewed with anyone that was available - crew lists simply do not exist. After the war, there were various attempts to try and compile lists of who went on what vessel, but these are often contradictory.
3: It may have started with people being authorised, but by 13/14 Feb, everyone was told to get out by whatever means they could
4. What records there are are all now in the National Archives at Kew.
I can say from my brief notes I have Daisy – water boat, left S’pore 13 Feb with Yin Ping; Mr Walmsley
An account of the escape of DAISY may be found here:
http://www.roll-of-honour.org.uk/s/html/stringer-dominic-michael.htm There is mention of her in the account of the escape of Lt Mann from Singapore:
http://www.manfamily.org/PDFs/EVACUATION%20OF%20SINGAPORE.pdfAlso features in the sinking of the Yin Ping:
https://daks2k3a4ib2z.cloudfront.net/56fd4a8227ac067437e7a412/5a5ca0fb3e2b760001e0f618_PASSENGER%20LIST%20YIN%20PING_%20version%201.1.0%2C%20October%202017.pdf